Answer:
1 Quarter + 1 Nickel , 3 Dimes , 30 Pennies , 15 Pennies + 1 Nickel + 1 Dime , 10 Pennies + 2 Nickels + 1 Dime ... There are many different ways to make 30 cents with certain coin combinations.
Step-by-step explanation:
<h3>The answer to your question is k (-3) = 21!</h3>
Here's how I got this answer:
<em><u>K(a) = 2a^2 - a </u></em>
<em><u>K(a) = 2a^2 - a K(-3) = 2(-3)^2 - (-3)</u></em>
<em><u>K(a) = 2a^2 - a K(-3) = 2(-3)^2 - (-3)K(-3) = 2(9) + 3</u></em>
<em><u>K(a) = 2a^2 - a K(-3) = 2(-3)^2 - (-3)K(-3) = 2(9) + 3K (-3) = 18 + 3</u></em>
<em><u>K(a) = 2a^2 - a K(-3) = 2(-3)^2 - (-3)K(-3) = 2(9) + 3K (-3) = 18 + 3K (-3) = 21</u></em>
I hope this helps!
Also sorry for the late answer, I just got the notification that you replied to my comment, I hope I came in time!
Answer:
Choice 4 (s - 3 = 12)
Step-by-step explanation:
I think you made a reading error on this question, as it said "for which equation is s = 9 <em>not</em> the solution?" No need to fret though, this can easily be solved by substituting 9 into the variable <em>s</em> of each equation.
1. We know it's not choice 1 (s + 6 = 15), because doing 9 + 6 does equal 15.
2. We know it's not choice 2 (7 + s = 19), because doing 7 + 9 does equal 16.
3. We know it's not choice 3 (13 - s = 4), because doing 13 - 9 does equal 4.
4. Choice 4 (s - 3 = 12) is the correct answer because doing 9 - 3 equals 6, not 12. Thus this equation is incorrect, meaning this is the correct choice.
Choice 4/D is the correct choice.
Permutation is different from combination because in combination the order is not a factor in considering the possible ways while permutation considers order as a factor. we are asked in this problem to evaluate 3P0 which is equal to 1.